Plane and Spherical TrigonometryGinn & Company, 1876 - 208 σελίδες |
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acute angle adapted to logarithmic B₁ base celestial sphere chord circle circle of latitude CIRCULAR FUNCTIONS circular measure colog complement cosc cosecant cosine cosẞ cotangent csc q ctn A ctn ctn q ctn ẞ deduced denote distance equal equator Example feet figures find the angle find the functions find the height following angles formulas four-place geometry given angle horizon hypothenuse increase of q initial line interpolation less than 180 log csc log ctn log sin logarithmic computation meas miles negative obtained OC'B OC"B perp perpendicular Plane Trig positive Prove quad quadrant radius right angle right triangle secant sin a sin sine and cosine solution solve spherical triangle substituting tan² tangent terminal line tions triangle of reference trigonometric functions unity ов ос
Δημοφιλή αποσπάσματα
Σελίδα xi - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 3 - Notes on English Literature 1.00 English Literature Pamphlets: Ancient Mariner, .05; First Bunker Hill Address, .10; Essay on Lord Clive, .15; Second Essay on the Earl of Chatham, .15; Burke, I. and II.; Webster, I. and II.; Bacon; Wordsworth, I. and II.; Coleridge and Burns; Addison and Goldsmith Each...
Σελίδα 91 - From a station B at the base of a mountain its summit A is seen at an elevation of 60°; after walking one mile towards the summit up a plane making an angle of 30° with the horizon to another station C, the angle BCA is observed to be 135°.
Σελίδα 1 - Plane and Spherical portions are arranged on opposite pages. The memory is aided by analogies, and it is believed that the entire subject can be mastered in less time than is usually given to Plane Trigonometry alone, as the work contains but 29 pages of textThe Plane portion is compact, and complete in itself.
Σελίδα 20 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Σελίδα 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 46 - By [2]. [18]. and [19]. we have. — sin (a ± ß) sin a cos ß ± cos a sin ß cos (a ± ß) cos acoeß Т sin a sin ß Divide both numerator and denominator by cos a cos |3.
Σελίδα 69 - Having measured a distance of 200 feet, in a direct horizontal line, from the bottom of a steeple, the angle of elevation of its top, taken at that distance, was found to be 47° 30'; from hence it is required to find the height of the steeple.